Logarithmic Functions and Graphs Quiz

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9 Questions

What is the inverse function of $f(x) = rac{1}{2} imes 3^x$?

$f^{-1}(x) = rac{1}{3} imes 2^x$

What is the vertical asymptote of the function $g(x) = 2 - rac{3}{ ext{ln}(x)}$?

$x = 0$

Which of the following transformations would result in a vertical stretch of the function $h(x) = ext{log}_2(x)$?

$h(x) = 2 imes ext{log}_2(x)$

What is the inverse function of $f(x) = e^{2x} + 1$?

$f^{-1}(x) = \log_e(x-1)$

What is the vertical asymptote of the function $g(x) = 3 - \frac{1}{\ln(x)}$?

$x=1$

Which of the following transformations would result in a horizontal compression of the function $h(x) = \log_3(x)$?

Replacig $x$ with $3x$ inside the function

Which of the following transformations would result in a vertical compression of the function $f(x) = e^{2x}$?

The transformation $f(x) = e^{x/2}$

What is the horizontal asymptote of the function $g(x) = 3 - \frac{1}{\ln(x)}$?

$y = 0$

Which of the following transformations would result in a horizontal stretch of the function $h(x) = \log_2(x)$?

The transformation $h(x) = \log_2(2x)$

Test your knowledge of logarithmic functions and graphing by answering questions about inverse functions, vertical asymptotes, and function transformations.

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